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arXiv · 2607.07028

Mutation matrices from Poisson CGL extensions

Zihang Liu·Jiang-Hua Lu·Yipeng Mi
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Abstract

Symmetric Poisson CGL extensions form a particular class of polynomial Poisson algebras that are shown by K. Goodearl and M. Yakimov to admit compatible cluster structures. In this paper, we give explicit formulas for a family of mutation matrices in the Goodearl-Yakimov theory via matrix products as well as by entry-wise description.

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Zihang Liu, Jiang-Hua Lu, Yipeng Mi. 2026-07-08. Mutation matrices from Poisson CGL extensions. https://arxiv.org/abs/2607.07028

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